A strong limit theorem in the Kac-Zwanzig model

G. Ariel; E. Vanden-Eijnden

doi:10.1088/0951-7715/22/1/008

A strong limit theorem in the Kac-Zwanzig model

G. Ariel, E. Vanden-Eijnden

Research output: Contribution to journal › Article › peer-review

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Abstract

A strong limit theorem is proved for a version of the well-known Kac-Zwanzig model, in which a 'distinguished' particle is coupled to a bath of N free particles through linear springs with random stiffness. It is shown that the evolution of the distinguished particle, albeit generated from a deterministic set of dynamical equations, converges pathwise towards the solution of an integro-differential equation with a random noise term. Both the canonical and microcanonical ensembles are considered.

Original language	English
Pages (from-to)	145-162
Number of pages	18
Journal	Nonlinearity
Volume	22
Issue number	1
DOIs	https://doi.org/10.1088/0951-7715/22/1/008
State	Published - 1 Jan 2009
Externally published	Yes

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A strong limit theorem in the Kac-Zwanzig model

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